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Convex fuzzy games and participation monotonic allocation schemes

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  • Brânzei, R.

    (Tilburg University)

  • Dimitrov, D.A.

    (Tilburg University)

  • Tijs, S.H.

    (Tilburg University)

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Bibliographic Info

Paper provided by Tilburg University in its series Open Access publications from Tilburg University with number urn:nbn:nl:ui:12-121813.

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Date of creation: 2003
Date of revision:
Publication status: Published in Fuzzy Sets and Systems (2003) v.139, p.267-281
Handle: RePEc:ner:tilbur:urn:nbn:nl:ui:12-121813

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Web page: http://www.tilburguniversity.edu/

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References

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  1. Pradeep Dubey & Robert J. Weber, 1977. "Probabilistic Values for Games," Cowles Foundation Discussion Papers 471, Cowles Foundation for Research in Economics, Yale University.
  2. S. C. Littlechild & G. Owen, 1973. "A Simple Expression for the Shapley Value in a Special Case," Management Science, INFORMS, vol. 20(3), pages 370-372, November.
  3. Brânzei, R. & Tijs, S.H., 2001. "Additivity Regions for Solutions in Cooperative Game Theory," Discussion Paper 2001-81, Tilburg University, Center for Economic Research.
  4. Curiel, Imma & Pederzoli, Giorgio & Tijs, Stef, 1989. "Sequencing games," European Journal of Operational Research, Elsevier, vol. 40(3), pages 344-351, June.
  5. Sprumont, Yves, 1990. "Population monotonic allocation schemes for cooperative games with transferable utility," Games and Economic Behavior, Elsevier, vol. 2(4), pages 378-394, December.
  6. Ichiishi, Tatsuro, 1981. "Super-modularity: Applications to convex games and to the greedy algorithm for LP," Journal of Economic Theory, Elsevier, vol. 25(2), pages 283-286, October.
  7. Curiel, I. & Pederzoli, G. & Tijs, S.H., 1989. "Sequencing games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154243, Tilburg University.
  8. Tsurumi, Masayo & Tanino, Tetsuzo & Inuiguchi, Masahiro, 2001. "A Shapley function on a class of cooperative fuzzy games," European Journal of Operational Research, Elsevier, vol. 129(3), pages 596-618, March.
  9. Toru Hokari, 2000. "Population monotonic solutions on convex games," International Journal of Game Theory, Springer, vol. 29(3), pages 327-338.
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Cited by:
  1. Brânzei, R. & Dimitrov, D.A. & Tijs, S.H., 2004. "Egalitarianism in convex fuzzy games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-140857, Tilburg University.
  2. Yan-an Hwang & Ming-chuan Chen, 2012. "A new axiomatization of the Shapley value under interval uncertainty," Economics Bulletin, AccessEcon, vol. 32(1), pages 799-810.
  3. Branzei, Rodica & Dimitrov, Dinko & Tijs, Stef, 2004. "Hypercubes and compromise values for cooperative fuzzy games," European Journal of Operational Research, Elsevier, vol. 155(3), pages 733-740, June.
  4. Gerwald Gulick & Henk Norde, 2013. "Fuzzy cores and fuzzy balancedness," Computational Statistics, Springer, vol. 77(2), pages 131-146, April.
  5. Tijs, S.H. & Brânzei, R. & Muto, S. & Ishihara, S. & Fukuda, E., 2002. "Fuzzy Clan Games and Bi-monotonic Allocation Rules," Discussion Paper 2002-115, Tilburg University, Center for Economic Research.
  6. Yaron Azrieli & Ehud Lehrer, 2007. "On some families of cooperative fuzzy games," International Journal of Game Theory, Springer, vol. 36(1), pages 1-15, September.
  7. Wenbo Yang & Jiuqiang Liu & Xiaodong Liu, 2011. "Aubin cores and bargaining sets for convex cooperative fuzzy games," International Journal of Game Theory, Springer, vol. 40(3), pages 467-479, August.
  8. Tijs, S.H. & Brânzei, R. & Ishihara, S. & Muto, S., 2002. "On Cores and Stable Sets for Fuzzy Games," Discussion Paper 2002-116, Tilburg University, Center for Economic Research.
  9. Yaron Azrieli & Ehud Lehrer, 2005. "Cooperative investment games or population games," Game Theory and Information 0503007, EconWPA.
  10. Yu-Hsien Liao, 2013. "The Shapley value for fuzzy games: TU games approach," Economics Bulletin, AccessEcon, vol. 33(1), pages 192-197.

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